An analysis of cubic approximation schemes for conic sections

DOI10.1007/BF02124751zbMath0860.65009MaRDI QIDQ1815864

Michael S. Floater

Publication date: 21 April 1997

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmssplineserror estimateconic sectioncontrol pointsrational quadratic Bézier curveHausdorff distancehigh-order approximationcubic approximation schemes

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• High-order approximation of conic sections by quadratic splines
• High accurate rational approximation of parametric curves
• Planar curve interpolation by piecewise conics of arbitrary type
• Good approximation of circles by curvature-continuous Bézier curves
• Properties of \(\beta\)-splines
• High accuracy geometric Hermite interpolation
• Interpolation with piecewise quadratic visually \(C^ 2\) Bézier polynomials
• Spline conversion for trimmed rational Bézier- and B-spline surfaces
• A practical guide to splines
• An \(O(h^{2n})\) Hermite approximation for conic sections
• A general framework for high-accuracy parametric interpolation
• Unnamed Item

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